A350229 - OEIS

%I #30 Jan 24 2022 16:11:23

%S 0,2,2,4,6,4,6,8,8,10,12,12,14,16,12,14,16,16,18,20,20,22,24,22,24,26,

%T 26,28,30,30,32,34,32,34,36,36,38,40,40,42,44,38,40,42,42,44,46,46,48,

%U 50,48,50,52,52,54,56,56,58,60,58,60,62,62,64,66,66,68

%N a(n) is the sum of n and the balanced ternary digits in n.

%C The image of this sequence is the set of nonnegative even numbers (A005843).

%F a(n) = n + A065363(n).

%F a(n) = n iff n belongs to A174658.

%e For n = 42:

%e - the balanced ternary representation of 42 is "1TTT0",

%e - so a(42) = 42 + 1 - 1 - 1 - 1 + 0 = 40.

%t Array[# + Total[If[First@ # == 0, Rest@ #, #] &[Prepend[IntegerDigits[#, 3], 0] //. {x___, y_, k_ /; k > 1, z___} :> {x, y + 1, k - 3, z}]] &, 70, 0] (* _Michael De Vlieger_, Jan 15 2022 *)

%o (PARI) a(n) = my (v=n, d); while (n, n=(n-d=[0,1,-1][1+n%3])/3; v+=d); v

%Y See A062028, A092391, A230641 for similar sequences.

%Y Cf. A005843, A065363, A174658 (fixed points).

%K nonn,base,easy

%O 0,2

%A _Rémy Sigrist_, Jan 09 2022